Joachim Kock
Associate Professor
- 2024
∞-operads as symmetric monoidal ∞-categories
Haugseng, R. G. & Kock, Joachim, 2024, In: Publicacions Matematiques. 68, 1, p. 111-137Research output: Contribution to journal › Journal article › Research › peer-review
- 2022
Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)
Behr, N. & Kock, Joachim, 2022, Proceedings of the Fourth International Conference on Applied Category Theory. Kishida, K. (ed.). arXiv preprint, p. 323-337 (Electronic Proceedings in Theoretical Computer Science, Vol. 372).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research
Infinity-Operads as Analytic Monads
Gepner, D., Haugseng, R. G. & Kock, Joachim, 2022, In: International Mathematics Research Notices. 2022, p. 12516-12624Research output: Contribution to journal › Journal article › Research › peer-review
Culf maps and edgewise subdivision
Hackney, P. & Kock, Joachim, 20 Oct 2022.Research output: Working paper › Preprint
Free decomposition spaces
Hackney, P. & Kock, Joachim, 20 Oct 2022, 32 p.Research output: Working paper › Preprint
Whole-grain Petri nets and processes
Kock, Joachim, 2022, In: Journal of the ACM. 70, 1, p. 1-58Research output: Contribution to journal › Journal article › Research › peer-review
- 2021
Every 2-Segal space is unital
Feller, M., Garner, R., Kock, Joachim, Proulx, M. U. & Weber, M., Mar 2021, In: Communications in Contemporary Mathematics. 23, 2, 6 p., 2050055.Research output: Contribution to journal › Journal article › Research › peer-review
Operadic categories and decalage
Garner, R., Kock, Joachim & Weber, M., 22 Jan 2021, In: Advances in Mathematics. 377, 23 p., 107440.Research output: Contribution to journal › Journal article › Research › peer-review
The incidence comodule bialgebra of the Baez-Dolan construction
Kock, Joachim, 2021, In: Advances in Mathematics. 383, 79 p., 107693.Research output: Contribution to journal › Journal article › Research › peer-review
- 2020
Antipodes of monoidal decomposition spaces
Carlier, L. & Kock, Joachim, Mar 2020, In: Communications in Contemporary Mathematics. 22, 2, 15 p., 1850081.Research output: Contribution to journal › Journal article › Research › peer-review
Decomposition Spaces and Restriction Species
Galvez-Carrillo, I., Kock, Joachim & Tonks, A., Nov 2020, In: International Mathematics Research Notices. 2020, 21, p. 7558-7616 59 p.Research output: Contribution to journal › Journal article › Research › peer-review
Decomposition spaces, incidence algebras and Mobius inversion II: Completeness, length filtration, and finiteness (vol 333, pg 1242, 2018)
Galvez-Carrillo, I., Kock, Joachim & Tonks, A., 16 Sep 2020, In: Advances in Mathematics. 371, 6 p., 107267.Research output: Contribution to journal › Journal article › Research › peer-review
DECOMPOSITION-SPACE SLICES ARE TOPOSES
Kock, Joachim & Spivak, D., Jun 2020, In: Proceedings of the American Mathematical Society. 148, 6, p. 2317-2329 13 p.Research output: Contribution to journal › Journal article › Research › peer-review
From Mobius inversion to renormalisation
Kock, Joachim, 2020, In: Communications in Number Theory and Physics. 14, 1, p. 171-198 28 p.Research output: Contribution to journal › Journal article › Research › peer-review
Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations
Kock, Joachim, Patras, F., Ebrahimi-Fard, K. & Foissy, L., 2020, In: Advances in Mathematics. 369, 107170.Research output: Contribution to journal › Journal article › Research › peer-review
- 2019
Faa di Bruno for operads and internal algebras
Kock, Joachim & Weber, M., Jun 2019, In: Journal of the London Mathematical Society. 99, 3, p. 919-944 26 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2018
REGULAR PATTERNS, SUBSTITUDES, FEYNMAN CATEGORIES AND OPERADS
Batanin, M., Kock, Joachim & Weber, M., 2018, In: Theory and Applications of Categories. 33, p. 148-192 45 p.Research output: Contribution to journal › Journal article › Research › peer-review
Decomposition spaces, incidence algebras and Mobius inversion III: The decomposition space of Mobius intervals
Galvez-Carrillo, I., Kock, Joachim & Tonks, A., 20 Aug 2018, In: Advances in Mathematics. 334, p. 544-584 41 p.Research output: Contribution to journal › Journal article › Research › peer-review
Homotopy linear algebra
Galvez-Carrillo, I., Kock, Joachim & Tonks, A., Apr 2018, In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 148, 2, p. 293-325 33 p.Research output: Contribution to journal › Journal article › Research › peer-review
Decomposition spaces, incidence algebras and Möbius inversion I: basic theory
Gálvez Carrillo, M. I., Kock, Joachim & Tonks, A., 2018, In: Advances in Mathematics. 331, p. 952-1015Research output: Contribution to journal › Journal article › Research › peer-review
Decomposition spaces, incidence algebras and Möbius inversion II: Completeness, length filtration, and finiteness
Gálvez-carrillo, I., Kock, Joachim & Tonks, A., 1 Jul 2018, In: Advances in Mathematics. 333, p. 1242-1292Research output: Contribution to journal › Journal article › Research › peer-review
COSPAN CONSTRUCTION OF THE GRAPH CATEGORY OF BORISOV AND MANIN
Kock, Joachim, 2018, In: Publicacions Matematiques. 62, 2, p. 331-353 23 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2017
Univalence in locally cartesian closed infinity-categories
Gepner, D. & Kock, Joachim, May 2017, In: Forum Mathematicum. 29, 3, p. 617-652 36 p.Research output: Contribution to journal › Journal article › Research › peer-review
Hochster duality in derived categories and point-free reconstruction of schemes
Kock, Joachim & Pitsch, W., 2017, In: Transactions of the American Mathematical Society. 369, 1, p. 223-261 39 p.Research output: Contribution to journal › Journal article › Research › peer-review
Homotopy composition of cospans
Kock, Joachim & Spivak, D. I., Oct 2017, In: Communications in Contemporary Mathematics. 19, 5, 6 p., 1650047.Research output: Contribution to journal › Journal article › Research › peer-review
Polynomial functors and combinatorial Dyson-Schwinger equations
Kock, Joachim, 2017, In: Journal of Mathematical Physics. 58, 041703.Research output: Contribution to journal › Journal article › Research › peer-review
- 2016
Combinatorial Dyson-Schwinger equations and inductive data types
Kock, Joachim, Jun 2016, In: Frontiers of Physics. 11, 3, 15 p., 111205.Research output: Contribution to journal › Journal article › Research › peer-review
Graphs, hypergraphs, and properads
Kock, Joachim, May 2016, In: Collectanea Mathematica. 67, 2, p. 155-190 36 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2015
Perturbative Renormalisation for Not-Quite-Connected Bialgebras
Kock, Joachim, Oct 2015, In: Letters in Mathematical Physics. 105, 10, p. 1413-1425 13 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2014
Groupoids and Faa di Bruno formulae for Green functions in bialgebras of trees
Galvez-Carrillo, I., Kock, Joachim & Tonks, A., 20 Mar 2014, In: Advances in Mathematics. 254, p. 79-117 39 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2013
Polynomial functors and polynomial monads
Gambino, N. & Kock, Joachim, Jan 2013, In: Mathematical Proceedings of the Cambridge Philosophical Society. 154, 1, p. 153-192 40 p.Research output: Contribution to journal › Journal article › Research › peer-review
COHERENCE FOR WEAK UNITS
Joyal, A. & Kock, Joachim, 2013, In: Documenta Mathematica. 18, p. 71-110 40 p.Research output: Contribution to journal › Journal article › Research › peer-review
Local fibred right adjoints are polynomial
Kock, A. & Kock, Joachim, Feb 2013, In: Mathematical Structures in Computer Science. 23, 1, p. 131-141 11 p.Research output: Contribution to journal › Journal article › Research › peer-review
Categorification of Hopf algebras of rooted trees
Kock, Joachim, Mar 2013, In: Central European Journal of Mathematics. 11, 3, p. 401-422 22 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2012
Data Types with Symmetries and Polynomial Functors over Groupoids
Kock, Joachim, 24 Sep 2012, In: Electronic Notes in Theoretical Computer Science. 286, p. 351-365 15 p.Research output: Contribution to journal › Journal article › Research › peer-review
Double adjunctions and free monads
Kock, Joachim, Fiore, T. M. & Gambino, N., 2012, In: Cahiers de Topologie et Géométrie Différentielle Catégoriques. 53, p. 242-307Research output: Contribution to journal › Journal article › Research › peer-review
- 2011
Monads in double categories
Fiore, T. M., Gambino, N. & Kock, Joachim, Jun 2011, In: Journal of Pure and Applied Algebra. 215, 6, p. 1174-1197 24 p.Research output: Contribution to journal › Journal article › Research › peer-review
Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract)
Joyal, A. & Kock, Joachim, 14 Feb 2011, In: Electronic Notes in Theoretical Computer Science. 270, 2, p. 105-113 9 p.Research output: Contribution to journal › Conference article › Research › peer-review
Polynomial Functors and Trees
Kock, Joachim, 2011, In: International Mathematics Research Notices. 2011, 3, p. 609-673 65 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2010
Polynomial functors and opetopes
Kock, Joachim, Joyal, A., Batanin, M. & Mascari, J., 20 Aug 2010, In: Advances in Mathematics. 224, 6, p. 2690-2737 48 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2008
Elementary remarks on units in monoidal categories
Kock, Joachim, Jan 2008, In: Mathematical Proceedings of the Cambridge Philosophical Society. 144, p. 53-76 24 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2007
Weak units and homotopy 3-types
Joyal, A. & Kock, Joachim, 2007, CATEGORIES IN ALGEBRA, GEOMETRY AND MATHEMATICAL PHYSICS. Davydov, A., Batanin, M., Johnson, M., Lack, S. & Neeman, A. (eds.). AMER MATHEMATICAL SOC, p. 257-276 20 p. (Contemporary Mathematics, Vol. 431).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
NOTE ON COMMUTATIVITY IN DOUBLE SEMIGROUPS AND TWO-FOLD MONOIDAL CATEGORIES
Kock, Joachim, 2007, In: Journal of Homotopy and Related Structures. 2, 2, p. 217-228 12 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2006
An invitation to quantum cohomology: Kontsevich's formula for rational plane curves
Kock, Joachim & Vainsencher, I., 2006, Birkhäuser Verlag. (Progress in Mathematics, Vol. 249).Research output: Book/Report › Book › Research › peer-review
Weak identity arrows in higher categories
Kock, Joachim, 2006, In: International Mathematics Research Papers. 54 p., 69163.Research output: Contribution to journal › Journal article › Research › peer-review
- 2005
Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture
Kock, Joachim & Toen, B., Jan 2005, In: Compositio Mathematica. 141, 1, p. 253-261 9 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2004
Tangency quantum cohomology
Kock, Joachim, Jan 2004, In: Compositio Mathematica. 140, 1, p. 165-178 14 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2003
Characteristic numbers of rational curves with cusp or prescribed triple contact
Kock, Joachim, 2003, In: Mathematica Scandinavica. 92, 2, p. 223-245 23 p.Research output: Contribution to journal › Journal article › Research › peer-review
Frobenius algebras and 2D topological quantum field theories
Kock, Joachim, 2003, Cambridge University Press. (London Mathematical Society Student Texts, Vol. 59).Research output: Book/Report › Book › Research › peer-review
- 2002
Descendant invariants and characteristic numbers
Graber, T., Kock, Joachim & Pandharipande, R., Jun 2002, In: American Journal of Mathematics. 124, 3, p. 611-647 37 p.Research output: Contribution to journal › Journal article › Research › peer-review
ID: 283957667